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Finding the Fourth Proportional to 357.38, 491.30 and 307.41

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Solution

The fourth proportional to 357.38, 491.30 and 307.41 is: 422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.38 : 491.30 = 307.41 : x
  2. Step 2: Convert to fraction form
    357.38/491.30 = 307.41/x
  3. Step 3: Cross multiply
    357.38x = 491.30 × 307.41
  4. Step 4: Simplify right side
    357.38x = 151,030.53
  5. Step 5: Solve for x
    x = 151,030.53/357.38
  6. Step 6: Final answer
    x = 422.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.